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Finding the Third Proportional to 1,923,021 and 4,150,683

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Solution

The third proportional to 1,923,021 and 4,150,683 is: 8,958,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,021 : 4,150,683 = 4,150,683 : x
  2. Step 2: Convert to fraction form
    1,923,021/4,150,683 = 4,150,683/x
  3. Step 3: Cross multiply
    1,923,021x = 4,150,683 × 4,150,683
  4. Step 4: Simplify right side
    1,923,021x = 17,228,169,366,489
  5. Step 5: Solve for x
    x = 17,228,169,366,489/1,923,021
  6. Step 6: Final answer
    x = 8,958,908.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.